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  1. Two cars are travelling on a straight stretch of highway at a steady 110 km/h in the same direction. Drivers are advised to maintain a separation of about 3 seconds between cars (more in poor road conditions). How far apart should the two cars be in meters (give you r answer to the nearest meter).
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If you imagine that the car in front is actually not moving, then the car behind takes three seconds to catch up with it. Also you can see that 110km/h is a speed measurement that is given by a distance (kilometres) divided by a time (hours). So this tells us that a distance measurement can be giving by multiplying speed by time. To solve this problem, first you need to convert hours to seconds, and kilometres to metres. 1km = 100m and 1hour = 3600 seconds so 110km/h = [(110 x 1000) metres]/ [3600 seconds] = (110,000/3600) metres per second = 30.5555555... m/s. This tells us that every second the cars are travelling 30.55555... metres, so that in 3 seconds they must travel 91.66666666... metres, which is about 92 metres.
jim360
24 September 2012
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